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TYPE OF ERROR IN COMPLETING MATHEMATICAL PROBLEM BASED ON NEWMAN"™S ERROR ANALYSIS (NEA) AND POLYA THEORY Winarso, Widodo; Wahid, Sirojudin; Rizkiah, Rizkiah
Jurnal Pendidikan Matematika dan IPA Vol 13, No 1 (2022): January 2022
Publisher : Universitas Tanjungpura

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (951.542 KB) | DOI: 10.26418/jpmipa.v13i1.44765

Abstract

This study disscusses student"™s errors in completing mathematical problems based on Newman"™s Errror Analysis and Polya Theory. The study uses a qualitative descriptive approach. The subject of this study are 78 students of Madrasah Aliyah Negeri (MAN) 2 Cirebon. The study uses tests and interviews as data collection techniques. Students take a test to determine their mathematical ability, and the test uses sequence and series as subjects. There are 3 phases in collecting data: data reduction, data presentation, and conclusion. Outline of Error analysis is created using five types of student mathematical error of Newman's Error Analysis and four types of student mathematical error of Polya Theory. The study results based on Newman's Error Analysis are errors reading by 1%, error understanding by 0%, error transforms by 3%, error processing ability by 5%, and error encoding by 7%. As the result of the study based Polya theory, errors when understanding the problem by 31%, errors when devising a plan by 11%, errors when carrying out the plan by 9%, and errors when Looking back by 33%. The result of the interview shows that the error occurs when students don"™t do calculations carefully, don"™t learn the formula, and cannot distinguish between sequence and series. Students also have a lack of understanding when completing the problem about compound interest.
Pengembangan Media Pembelajaran Matematika Berbasis Web Menggunakan Aplikasi Educandy untuk Meningkatkan Motivasi Belajar Siswa Natalia, Natalia; Wahid, Sirojudin; Muchyidin, Arif
ANARGYA: Jurnal Ilmiah Pendidikan Matematika Vol 7, No 1 (2024)
Publisher : Universitas Muria Kudus

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24176/anargya.v7i1.12742

Abstract

This study aims to develop web-based learning media using the educandy application to increase student learning motivation at MTs Al Washliyah. The research method used is Research and Development (RD), using the ADDIE development model (analysis, design, development, implementation, evaluation). The learning media developed resulted in a web learning media product. This study used probability sampling with the cluster random sampling method and obtained a sample at MTs Al Washliyah Talun involving 20 seventh grade students. The data collection techniques used were questionnaires and unstructured interviews. The research instruments used in this study were expert validation questionnaire, student response questionnaire, student learning motivation questionnaire and pretest-posttest questionnaire.  The data analysis technique used was qualitative and quantitative data analysis. Qualitative data analysis is used to conduct theoretical studies and observations, while quantitative data analysis is used to calculate expert validation scores, student response questionnaires, student learning motivation questionnaires and N Gain tests. The results of this study indicate that the learning media developed is feasible to use based on expert validation with a very feasible category, and can effectively increase student learning motivation based on the results of the N Gain test and learning motivation questionnaire, and get a response with a very practical category.
Pengembangan Modul Berbasis Model CORE dan Problem Solving Polya untuk Meningkatkan Self Regulated Learning dan Critical Thinking Hadyah Furqon, Fifiq Rachma; Wahid, Sirojudin; Toheri, Toheri
MATHEMA: JURNAL PENDIDIKAN MATEMATIKA Vol 6, No 2 (2024): MATHEMA
Publisher : Universitas Teknokrat Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33365/jm.v6i2.2907

Abstract

Tujuan dari penelitian ini untuk mengetahui proses, kevalidan, kepraktisan dan keefektifan pengembangan pada modul dengan berbasis model CORE dan problem solving polya untuk meningkatkan self regulated learning dan critical thinking. Jenis penelitian ini menggunakan penelitian pengembangan (RnD) dengan metode ADDIE (Analys, Design, Development, Implementation and Evaluation). Berdasarkan penelitian yang telah dilakukan diperoleh hasil kevalidan pada proses pengembangan dari aspek materi, aspek media, dan aspek bahasa dinyatakan sangat valid. Selanjutnya, pada kepraktisan mendapatkan kriteria sangat praktis sedangkan pada keefektifan modul yang dikembangkan dikatakan efektif karena nilai N-gain kelas eksperimen lebih besar dibandingkan nilai N-gain kelas kontrol. Peningkatan pada self regulated learning sebesar 16% dan peningkatan pada critical thinking sebesar 48,3%.
OPTIMALISASI DESAIN DIDAKTIS MATERI PEMAHAMAN KONSEP PERBANDINGAN NILAI MELALUI IDENTIFIKASI DAN PENANGANAN LEARNING OBSTACLE Haqq, Arif Abdul; Amaliyah, Nur; Wahid, Sirojudin; Solahudin, Iman
Jurnal Edukasi dan Sains Matematika (JES-MAT) Vol. 9 No. 2 (2023): Jurnal Edukasi dan Sains Matematika (JES-MAT)
Publisher : Department of Mathematics Education, Universitas Kuningan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25134/jes-mat.v9i2.8335

Abstract

This research aims to develop an effective didactic design to address students' learning obstacles in the concept of value ratios. A qualitative research method was employed, specifically utilizing Didactical Design Research. Data were collected through tests, interviews, observations, and documentation from 8th-grade students at MTs PUI Kancana who had studied the subject matter. The didactic design was based on the analysis of learning obstacles and trajectories, metapedadidactics, and retrospectives. Following the implementation of the instructional design in 7th-grade class A at MTs PUI Kancana, which had not received prior instruction on value comparison, a decrease in students' learning obstacles was observed. Although not all learning obstacles were eliminated, the didactic design effectively reduced the barriers encountered by the students. This research holds significant implications for instructional development. By employing the didactic design for value ratios, it provides an alternative approach to enhance students' understanding and mastery of value comparison concepts. Consequently, this study offers an accurate and comprehensive overview of the didactic design approach to address learning obstacles in the context of value comparison. The findings highlight the importance of employing effective didactic designs to improve learning outcomes in the domain of value ratios. 
From Linearity to Iteration: Navigating Polya's Problem-Solving Stages in an e-PBL Geometry Environment Haqq, Arif Abdul; Wahid, Sirojudin; Izzati, Nurma; Riyanto, Onwardono Rit; Alves, Dionisio Aquino; Sulistiawati, Sulistiawati; Nugraha, Aditiya Eka
Mosharafa: Jurnal Pendidikan Matematika Vol. 15 No. 1 (2026): January
Publisher : Department of Mathematics Education Program IPI Garut

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31980/mosharafa.v15i1.3613

Abstract

Penelitian ini mengkaji bagaimana mahasiswa mengalami dan memaknai tahapan pemecahan masalah Polya saat mengerjakan tugas geometri dalam lingkungan electronic Problem-Based Learning (e-PBL) yang diimplementasikan melalui sistem manajemen pembelajaran berbasis Moodle yang dikustomisasi. Penelitian ini menggunakan desain deskriptif kualitatif dengan sumber data berupa artefak pemecahan masalah tertulis, wawancara semi-terstruktur, dan jejak digital selama e-PBL. Data dianalisis menggunakan analisis tematik Braun dan Clarke dengan pengodean deduktif berdasarkan empat tahap Polya dan pengodean induktif untuk menangkap pola penalaran yang muncul. Hasil penelitian menunjukkan bahwa pemecahan masalah berlangsung secara dinamis dan rekursif. Tahap memahami dan merencanakan melibatkan penafsiran ulang representasi multimodal, sedangkan tahap pelaksanaan ditandai oleh pergeseran representasi yang memperjelas konsep. Prompt reflektif dalam e-PBL mendukung deteksi kesalahan dan penguatan konsep, serta menegaskan peran tahap evaluasi. This study examines how students experience and interpret Polya’s problem-solving stages while working on geometry tasks in an electronic Problem-Based Learning (e-PBL) environment implemented through a customized Moodle based learning management system. Using a qualitative descriptive design, data were collected from written problem-solving artefacts, semi-structured interviews, and digital traces generated during e-PBL activities. The data were analyzed using thematic analysis following Braun and Clarke, combining deductive coding based on Polya’s four stages with inductive coding to capture emerging reasoning patterns. The findings indicate that problem-solving is enacted as a dynamic and recursive process rather than a linear sequence. Understanding and planning involve repeated reinterpretation of multimodal representations, while execution is characterized by representational shifts that support conceptual clarity. Reflective prompts in e-PBL facilitate error detection and conceptual consolidation, highlighting the importance of the evaluative stage.
Development of boxprob teaching aid for mathematics learning probability material Shahrul Khan, Mohamad Ilham; Wahid, Sirojudin; Handoko, Hendri
Jurnal Pengembangan Pembelajaran Matematika (JPPM) Vol. 8 No. 1 (2026): Jurnal Pengembangan Pembelajaran Matematika: Volume 8 Nomor 1 February 2026
Publisher : Pusat Studi Pengembangan Pembelajaran Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14421/jppm.2026.81.79-98

Abstract

This research is a development research of BOXPROB teaching aids for Mathematics learning on probability material for junior high school students. The objectives of this research are to: (1) produce valid BOXPROB teaching aids for Mathematics learning on probability material for junior high school students, (2) analyze the practicality of these teaching aids, and (3) determine whether these teaching aids can improve the learning outcomes of junior high school students. This research uses a Research and Development (R&D) approach consisting of three stages, namely (1) defining (define), (2) designing (design), and (3) developing (develop). The subjects of the research were students of class VIII F of SMP Negeri 16 Cirebon City. Data collection techniques were carried out through observation, questionnaires, and learning outcome tests. For data analysis, analysis of the validity of teaching materials and data analysis of the practicality of teaching materials were used. The results of the research show that the developed learning aids: (1) are valid after going through the validation process, (2) are practical based on positive responses from students regarding the BOXPROB teaching aids for Mathematics learning on probability material, and (3) can improve the learning outcomes of Junior high school students in Mathematics learning on probability material.